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Finding the Third Proportional to 126,332 and 182,512

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Solution

The third proportional to 126,332 and 182,512 is: 263,675.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,332 : 182,512 = 182,512 : x
  2. Step 2: Convert to fraction form
    126,332/182,512 = 182,512/x
  3. Step 3: Cross multiply
    126,332x = 182,512 × 182,512
  4. Step 4: Simplify right side
    126,332x = 33,310,630,144
  5. Step 5: Solve for x
    x = 33,310,630,144/126,332
  6. Step 6: Final answer
    x = 263,675.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.